You want to minimize carbohydrate intake. During lunch at your cafeteria, you choose between two dishes, slice of Pizza or a Chinese dish. The table below lists the amount of protein, carbohydrates, vitamins and fats each dish provides. You need at least 200 grams of protein, 44 grams of fats, and 40 grams of vitamins for lunch each month. Over this time period, how many dishes of each should you have so that you get adequate amount of protein, fats, and vitamins and at the same time minimizes your carbohydrate intake? For this exercise, assume that you can consume fractions of a dish. Pizza Chinese Protein 22g 16g Carbohydrate 60g 40g Vitamins 2g 2g Fats 60g 50g Assuming P is the number of Pizza slices and C the number of Chinese dishes. The final solution and the sensitivity report are given below. 1 Carbohydrate 60.00 40.00 P Min Random 0.00 20.00 Obj Fn 800.00 s Constraints LHS Protein 22.00 16.00 320.00 200.00 7 Fats 60.00 50.00 100 90 44,00 Vitamins 2.00 2.00 40.00 40.00 Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease 9 SC$3 Random P 0 20 60 1E+30 20 10 SD$3 Random C 20 0 40 20 40 11 12 Constraints 13 Final Shadow Constraint Allowable Allowable 14 Cell Name Value Price R.H. Side Increase Decrease 15 SE$6 Protein LHS 320 0 200 120 1E+30 16 SES7 Fats LHS 1000 44 956 1E+30 17 SESB Vitamins LHS 40 20 40 16+30 15You want to minimize carbohydrate intake. During lunch at your cafeteria, you choose between two dishes, slice of Pizza or a Chinese dish. The table below lists the amount of protein, carbohydrates, vitamins and fats each dish provides. You need at least 200 grams of protein, 44 grams of fats, and 40 grams of vitamins for lunch each month. Over this time period, how many dishes of each should you have so that you get adequate amount of protein, fats, and vitamins and at the same time minimizes your carbohydrate intake? For this exercise, assume that you can consume fractions of a dish. Pizza Chinese Protein 22g 16g Carbohydrate 60g 40g Vitamins 2g 2g Fats 60g 50g Assuming P is the number of Pizza slices and C the number of Chinese dishes. The final solution and the sensitivity report are given below. 1 Carbohydrate 60.00 40.00 P Min Random 0.00 20.00 Obj Fn 800.00 s Constraints LHS Protein 22.00 16.00 320.00 200.00 7 Fats 60.00 50.00 100 90 44,00 Vitamins 2.00 2.00 40.00 40.00 Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease 9 SC$3 Random P 0 20 60 1E+30 20 10 SD$3 Random C 20 0 40 20 40 11 12 Constraints 13 Final Shadow Constraint Allowable Allowable 14 Cell Name Value Price R.H. Side Increase Decrease 15 SE$6 Protein LHS 320 0 200 120 1E+30 16 SES7 Fats LHS 1000 44 956 1E+30 17 SESB Vitamins LHS 40 20 40 16+30 15QUESTION 1 You then learned that you want at least 50 grams of protein. Which of the following is correct? Cannot be answered given the available information The minimum amount of carboydrates would increase to 1000 The minimum amount of carbohydrates would not change None of the other three answers QUESTION 2 Your chef is preparing low-carbohydrate pizzas and each pizza has only 30 grams of carbohydrates. Cannot be answered given the available information The minimum amount of carboydrates would increase to 1000 The number of pizza slices and Chinese dishes would not change. None of the other three answersQUESTION 1 You then learned that you want at least 50 grams of protein. Which of the following is correct? Cannot be answered given the available information The minimum amount of carboydrates would increase to 1000 The minimum amount of carbohydrates would not change None of the other three answers QUESTION 2 Your chef is preparing low-carbohydrate pizzas and each pizza has only 30 grams of carbohydrates. Cannot be answered given the available information The minimum amount of carboydrates would increase to 1000 The number of pizza slices and Chinese dishes would not change. None of the other three answersQUESTION 3 You learn that the Chinese dish has 90 grams of carbohydrates Cannot be answered given the available information The minimum amount of carboydrates would increase to 1000 The number of pizza slices and Chinese dishes would not change. None of the other three answers QUESTION 4 You then learned that you want at least 65 grams of vitamins Cannot be answered given the available information The minimum amount of carboydrates would increase to 1000 The number of pizza slices and Chinese dishes would not change. ONone of the other three answersQUESTION 3 You learn that the Chinese dish has 90 grams of carbohydrates Cannot be answered given the available information The minimum amount of carboydrates would increase to 1000 The number of pizza slices and Chinese dishes would not change. None of the other three answers QUESTION 4 You then learned that you want at least 65 grams of vitamins Cannot be answered given the available information The minimum amount of carboydrates would increase to 1000 The number of pizza slices and Chinese dishes would not change. ONone of the other three answers